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Asymptotic expansions for ordinary differential equations
TLDR
Asymptotic expansions for ordinary differential equations as discussed by the authors, asymptotics expansions for ODEs, Asymptotically expansion for ordinary DDEs and their derivatives.Abstract:
Asymptotic expansions for ordinary differential equations , Asymptotic expansions for ordinary differential equations , مرکز فناوری اطلاعات و اطلاع رسانی کشاورزیread more
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Singular cauchy problems for systems of ordinary differential equations
TL;DR: In this paper, the existence and uniqueness theorems for singular Cauchy problems with initial conditions specified at a singular point are investigated. But the authors focus on systems of nonlinear ordinary differential equations.
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On the Riemann–Hilbert–Birkhoff inverse monodromy problem and the Painlevé equations
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Flight path optimization with multiple time scales
TL;DR: Flight path optimization with multiple time scales, discussing decoupling of high order three dimensional aircraft flight problem into several low order problems.
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Riemann?Hilbert problem for bi-orthogonal polynomials
TL;DR: In this paper, the 3 × 3 matrix Riemann-Hilbert problem for bi-orthogonal polynomials with the third-degree polynomial potential functions is explicitly constructed.
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On optimal truncation of divergent series solutions of nonlinear differential systems
Ovidiu Costin,Martin D. Kruskal +1 more
TL;DR: In this article, it was shown that for divergent series solutions of nonlinear (or linear) differential systems near a generic irregular singularity, the common prescription of summation to the least term is, if properly interpreted, meaningful and correct, and this method was extended to trans-series solutions.